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Finding the Third Proportional to 148,428 and 314,568

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Solution

The third proportional to 148,428 and 314,568 is: 666,673.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,428 : 314,568 = 314,568 : x
  2. Step 2: Convert to fraction form
    148,428/314,568 = 314,568/x
  3. Step 3: Cross multiply
    148,428x = 314,568 × 314,568
  4. Step 4: Simplify right side
    148,428x = 98,953,026,624
  5. Step 5: Solve for x
    x = 98,953,026,624/148,428
  6. Step 6: Final answer
    x = 666,673.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.